The theory of redistribution and its application

The theory of redistribution systems is a practical extension of a game theory, which deals with a redistribution within a social system of more than two players with di?erent performances and ability to create coalitions. This thesis is divided into three chapters. The ?rst chapter describes the known knowledge of a game theory. The second chapter deals with the theory of redistribution systems. Using an elementary redistribution system and its generalization group behaviour when dividing a payment, achieved by a collective performance, is described. This part introduces the extension of the redistribution system to a compound redistribution system with a fractal structure. Furthermore the theory of discriminatory equilibrium and the theory of commonly acceptable equilibrium are veri?ed using the elementary redistribution system and utility theory. The third chapter deals with an application to the allocation of funds among faculty departments. A game theory approach was used to reduce the game to a non-cooperative game of two players by using the forming of coalitions. Also the theory of redistribution systems was applied when a reduction was used to create a non-cooperative two-player game. This reduced non-cooperative game between two players was converted to a cooperative play of more than two players by changing the rules of the game and allowing a formation of coalitions. In the practical part both of these approaches are compared with real data and a current state.